SOLUTION: the sum of 3 numbers is 207 the second number is 8 times the first while the third is 3 less than the first find the three numbers
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Question 829224: the sum of 3 numbers is 207 the second number is 8 times the first while the third is 3 less than the first find the three numbers Answer by TimothyLamb(4379) (Show Source):
You can put this solution on YOUR website! ---
x + y + z = 207
y = 8x
z = x - 3
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put the system of linear equations into standard form:
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x + y + z = 207
8x - y = 0
x - z = 3
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solution:
x = 21
y = 168
z = 18
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system matrix
1 1 1
8 -1 0
1 0 -1
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inverse of system matrix
0.1 0.1 0.1
0.8 -0.2 0.8
0.1 0.1 -0.9
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determinant of system matrix = 10
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